Can you help me please

Using trigonometry:

Let's take Tan of 60 degrees:

Tan 60 degrees = Opposite / adjacent

We can see that the opposite side is 3√3 and the adjacent side is x

Tan 60 degrees = 3√3 / x

From the trigonometric table, we know that Tan 60 degrees is √3

√3 = 3√3 / x

x = 3√3 / √3

x = 3

Now, we will take Sin of 60 degrees

Sin 60 degrees = Opposite / Hypotenuse

We can see that the opposite side is 3√3 and the hypotenuse is y

Sin 60 degrees = 3√3 / y

From the trigonometric table, we know that Sin 60 degrees is √3 / 2

√3/2 = 3√3 / y

y = 3√3 / (√3/2)

y = 3√3 * 2/√3

y = 6

Therefore, y = 6 and x = 3

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

ok

step-by-step explanation: